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Finding the Fourth Proportional to 8,102.13, 11,178.21 and 6,607.45

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Solution

The fourth proportional to 8,102.13, 11,178.21 and 6,607.45 is: 9,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.13 : 11,178.21 = 6,607.45 : x
  2. Step 2: Convert to fraction form
    8,102.13/11,178.21 = 6,607.45/x
  3. Step 3: Cross multiply
    8,102.13x = 11,178.21 × 6,607.45
  4. Step 4: Simplify right side
    8,102.13x = 73,859,463.66
  5. Step 5: Solve for x
    x = 73,859,463.66/8,102.13
  6. Step 6: Final answer
    x = 9,116.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.